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Journal of Modern Optics

Reconstruction of quantum states of spin systems via the Jaynes principle of maximum entropy

V. Bužekr, G. Drobný, G. Adam, R. Derka, P. L. Knight

Published Nov 1, 1997• 0 citations
Publisher

Abstract

We apply the Jaynes principle of maximum entropy for the partial reconstruction of correlated spin states.We determine the minimum set of observables which are necessary for the complete reconstruction of the most correlated states of systems composed of spins-1/2 (e.g., the Bell and the Greenberger-Horne-Zeilinger states).We investigate to what extent an incomplete measurement can reveal nonclassical features of correlated spin states.

DOI
10.1080/095003497152717

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We apply the Jaynes principle of maximum entropy for the partial reconstruction of correlated spin states.We determine the minimum set of observables which are necessary for the complete reconstruction of the most correlated states of systems composed of spins-1/2 (e.g., the Bell and the Greenberger-Horne-Zeilinger states).We investigate to what extent an incomplete measurement can reveal nonclassical features of correlated spin states.
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We have performed the first experimental tomographic reconstruction of a three-photon polarization state. Quantum state tomography is a powerful tool for fully describing the density matrix of a quantum system. We measured 64 three-photon polarization correlations and used a "maximum-likelihood" reconstruction method to reconstruct the Greenberger-Horne-Zeilinger state. The entanglement class has been characterized using an entanglement witness operator and the maximum predicted values for the Mermin inequality were extracted.